Hybrid modeling of tumor-induced angiogenesis.

  title={Hybrid modeling of tumor-induced angiogenesis.},
  author={Luis L. Bonilla and Vincenzo Capasso and M. Alvaro and Manuel Carretero},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={90 6},
When modeling of tumor-driven angiogenesis, a major source of analytical and computational complexity is the strong coupling between the kinetic parameters of the relevant stochastic branching-and-growth of the capillary network, and the family of interacting underlying fields. To reduce this complexity, we take advantage of the system intrinsic multiscale structure: we describe the stochastic dynamics of the cells at the vessel tip at their natural mesoscale, whereas we describe the… 

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